`ABC` is a variable triangle such that `A` is (1, 2), and B and C on the line `y=x+lambda(lambda` is a variable). Then the locus of the orthocentre of `DeltaA B C` is `x+y=0` (b) `x-y=0` `x^2+y^2=4` (d) `x+y=3`

ABC is a variable triangle such that A is (1,2) and B and C lie on line y=x+lambda (where lambda is a variable).Then the locus of the orthocentre of triangle ABC is (a)(x-1)^(2)+y^(2)=4(b)x+y=3( c) 2x-y=0 (d) none of these

A=(1,2),B(3,4) and the locus of C is 2x+3y=5 then the locus of the centroid of Delta ABC is

o is the origin. A and B are variable points on y =x and x +y=0 such that the area of triangle OAB is k^2. The locus of the circumcentre of triangle OAB is

Locus of the image of the point (1,1) in the line (5x-2y-7)+lambda(2x-3y+6)=0 (lambda in R'), is

Locus of the image of the point (1,1) in the line (5x-2y-7)+lambda(2x-3y+6)=0lambda in R, is

Tangent are drawn to the circle x^(2)+y^(2)=1 at the points where it is met by the circles x^(2)+y^(2)-(lambda+6)x+(8-2 lambda)y-3=0,lambda being the variable.The locus of the point of intersection of these tangents is 2x-y+10=0 (b) 2x+y-10=0x-2y+10=0 (d) 2x+y-10=0

Let lambda x-y+7=0 is any chord of the parabola x^(2)=28y meeting at A and B and the tangents drawn to the parabola at A,B meet at C,then locus of circumcentre of Delta ABC is

The coordinates of the orthocentre of the triangle formedby the lines 2x^(2)-3xy+y^(2)=0 and x+y=1 are

If points A and B are (1,0) and (0,1) respectively,and point C is on the circle x^(2)+y^(2)=1, then the locus of the orthocentre of triangle ABC is x^(2)+y^(2)=4x^(2)+y^(2)-x-y=0x^(2)+y^(2)-2x-2y+1=0x^(2)+y^(2)+2x-2y+1=0

The line L_1-=4x+3y-12=0 intersects the x-and y-axies at Aa n dB , respectively. A variable line perpendicular to L_1 intersects the x- and the y-axis at P and Q , respectively. Then the locus of the circumcenter of triangle A B Q is (a)3x-4y+2=0 (b)4x+3y+7=0 (c)6x-8y+7=0 (d) none of these